1,415 reputation
1927
bio website
location
age
visits member for 4 years, 1 month
seen Oct 20 at 18:04

Student.


Jun
19
comment Is it possible to have $\mathbb E S_n \to \infty$ but $\inf S_n = -\infty$ a.s.?
@ByronSchmuland Hmm, you're right. $S_n / n \to 2p - 1 > 0$ almost surely, so $S_n \to \infty$ almost surely
Jun
19
revised Is it possible to have $\mathbb E S_n \to \infty$ but $\inf S_n = -\infty$ a.s.?
added 5 characters in body
Jun
19
comment Is it possible to have $\mathbb E S_n \to \infty$ but $\inf S_n = -\infty$ a.s.?
@ByronSchmuland Yeah, you're right about case 1. It should be $S_n = 0$ for all $n$.
Jun
19
asked Is it possible to have $\mathbb E S_n \to \infty$ but $\inf S_n = -\infty$ a.s.?
Jun
18
accepted Sum of positive i.i.d. random variables.
Jun
18
asked Sum of positive i.i.d. random variables.
Jun
17
comment How many ways can $5$ rings be placed on $4$ fingers?
Shouldn't this goes to infinity?
Jun
16
comment combinatorics - Distribution of Distinct Balls into Distinct Boxes
By nPk do you mean $\binom n k$?
Jun
16
comment Convergence to exponential function.
I see my mistake!
Jun
16
accepted Convergence to exponential function.
Jun
14
revised $X,Y$ i.i.d., $X$ and $(X+Y)/\sqrt{2}$ have the same dist., then show that $X$ has a normal distribution
deleted 2 characters in body
Jun
14
answered $X,Y$ i.i.d., $X$ and $(X+Y)/\sqrt{2}$ have the same dist., then show that $X$ has a normal distribution
Jun
13
revised Convergence to exponential function.
added 39 characters in body
Jun
13
asked Convergence to exponential function.
Jun
3
accepted Scheffe’s Theorem
Jun
3
comment Scheffe’s Theorem
@ChrisJanjigian I see, it is $1 \le n \le \infty$. Thanks!
Jun
3
comment Scheffe’s Theorem
@ChrisJanjigian How do we get $\int f_\infty = 1$? Dominated convergence theorem?
Jun
3
asked Scheffe’s Theorem
May
31
comment Difference between $P(Y \ge y)$ and $P(Y > y)$.
Thanks! Somehow I believed the sum should starts from $0$ without much thinking.
May
30
accepted Difference between $P(Y \ge y)$ and $P(Y > y)$.